boost::multiprecision Namespace Reference

Namespaces
	backends
	concepts
	cpp_bf_io_detail
	default_ops
	detail
	literals

Classes
struct	component_type< boost::rational< I > >
struct	component_type< number< gmp_rational > >
struct	component_type< number< mpfi_float_backend< Digits10 >, ExpressionTemplates > >
struct	component_type< rational_adaptor< T > >
struct	expression_template_default< backends::cpp_int_backend< MinBits, MaxBits, SignType, Checked, void > >
struct	expression_template_default< backends::rational_adaptor< IntBackend > >
struct	expression_template_default< cpp_bin_float< Digits, DigitBase, Allocator, Exponent, MinE, MaxE > >
struct	interval_error
struct	is_interval_number< backends::mpfi_float_backend< Digits10 > >
struct	is_unsigned_number< backends::cpp_int_backend< MinBits, MaxBits, SignType, Checked, Allocator > >
class	number
struct	number_category< backends::cpp_dec_float< Digits10, ExponentType, Allocator > >
struct	number_category< backends::debug_adaptor< Backend > >
struct	number_category< backends::float128_backend >
struct	number_category< backends::gmp_float< digits10 > >
struct	number_category< backends::gmp_int >
struct	number_category< backends::gmp_rational >
struct	number_category< backends::logged_adaptor< Backend > >
struct	number_category< backends::mpfi_float_backend< digits10 > >
struct	number_category< backends::mpfr_float_backend< digits10, AllocationType > >
struct	number_category< backends::rational_adaptor< IntBackend > >
struct	number_category< concepts::number_backend_float_architype >
struct	number_category< cpp_bin_float< Digits, DigitBase, Allocator, Exponent, MinE, MaxE > >
struct	number_category< cpp_int_backend< MinBits, MaxBits, SignType, Checked, Allocator > >
struct	number_category< detail::canonical< mpf_t, gmp_float< 0 > >::type >
struct	number_category< detail::canonical< mpfi_t, backends::mpfi_float_backend< 0 > >::type >
struct	number_category< detail::canonical< mpfr_t, backends::mpfr_float_backend< 0 > >::type >
struct	number_category< detail::canonical< mpq_t, gmp_rational >::type >
struct	number_category< detail::canonical< mpz_t, gmp_int >::type >
struct	number_category< float128_type >
struct	number_category< tommath_int >

Typedefs
typedef number < backends::cpp_bin_float< 50 > >	cpp_bin_float_50
typedef number < backends::cpp_bin_float< 100 > >	cpp_bin_float_100
typedef number < backends::cpp_bin_float < 24, backends::digit_base_2, void, boost::int16_t,-126, 127 > , et_off >	cpp_bin_float_single
typedef number < backends::cpp_bin_float < 53, backends::digit_base_2, void, boost::int16_t,-1022, 1023 > , et_off >	cpp_bin_float_double
typedef number < backends::cpp_bin_float < 64, backends::digit_base_2, void, boost::int16_t,-16382, 16383 > , et_off >	cpp_bin_float_double_extended
typedef number < backends::cpp_bin_float < 113, backends::digit_base_2, void, boost::int16_t,-16382, 16383 > , et_off >	cpp_bin_float_quad
typedef number< cpp_dec_float< 50 > >	cpp_dec_float_50
typedef number< cpp_dec_float< 100 > >	cpp_dec_float_100
typedef detail::largest_unsigned_type < 32 >::type	limb_type
typedef detail::largest_signed_type < 32 >::type	signed_limb_type
typedef detail::largest_unsigned_type < 64 >::type	double_limb_type
typedef detail::largest_signed_type < 64 >::type	signed_double_limb_type
typedef number< cpp_int_backend<> >	cpp_int
typedef rational_adaptor < cpp_int_backend<> >	cpp_rational_backend
typedef number < cpp_rational_backend >	cpp_rational
typedef number < cpp_int_backend < 128, 128, unsigned_magnitude, unchecked, void > >	uint128_t
typedef number < cpp_int_backend < 256, 256, unsigned_magnitude, unchecked, void > >	uint256_t
typedef number < cpp_int_backend < 512, 512, unsigned_magnitude, unchecked, void > >	uint512_t
typedef number < cpp_int_backend < 1024, 1024, unsigned_magnitude, unchecked, void > >	uint1024_t
typedef number < cpp_int_backend < 128, 128, signed_magnitude, unchecked, void > >	int128_t
typedef number < cpp_int_backend < 256, 256, signed_magnitude, unchecked, void > >	int256_t
typedef number < cpp_int_backend < 512, 512, signed_magnitude, unchecked, void > >	int512_t
typedef number < cpp_int_backend < 1024, 1024, signed_magnitude, unchecked, void > >	int1024_t
typedef number < cpp_int_backend < 0, 0, signed_magnitude, checked > >	checked_cpp_int
typedef rational_adaptor < cpp_int_backend < 0, 0, signed_magnitude, checked > >	checked_cpp_rational_backend
typedef number < checked_cpp_rational_backend >	checked_cpp_rational
typedef number < cpp_int_backend < 128, 128, unsigned_magnitude, checked, void > >	checked_uint128_t
typedef number < cpp_int_backend < 256, 256, unsigned_magnitude, checked, void > >	checked_uint256_t
typedef number < cpp_int_backend < 512, 512, unsigned_magnitude, checked, void > >	checked_uint512_t
typedef number < cpp_int_backend < 1024, 1024, unsigned_magnitude, checked, void > >	checked_uint1024_t
typedef number < cpp_int_backend < 128, 128, signed_magnitude, checked, void > >	checked_int128_t
typedef number < cpp_int_backend < 256, 256, signed_magnitude, checked, void > >	checked_int256_t
typedef number < cpp_int_backend < 512, 512, signed_magnitude, checked, void > >	checked_int512_t
typedef number < cpp_int_backend < 1024, 1024, signed_magnitude, checked, void > >	checked_int1024_t
typedef number < float128_backend, et_off >	float128
typedef number< gmp_float< 50 > >	mpf_float_50
typedef number< gmp_float< 100 > >	mpf_float_100
typedef number< gmp_float< 500 > >	mpf_float_500
typedef number< gmp_float< 1000 > >	mpf_float_1000
typedef number< gmp_float< 0 > >	mpf_float
typedef number< gmp_int >	mpz_int
typedef number< gmp_rational >	mpq_rational
typedef number < mpfi_float_backend< 50 > >	mpfi_float_50
typedef number < mpfi_float_backend< 100 > >	mpfi_float_100
typedef number < mpfi_float_backend< 500 > >	mpfi_float_500
typedef number < mpfi_float_backend< 1000 > >	mpfi_float_1000
typedef number < mpfi_float_backend< 0 > >	mpfi_float
typedef number < mpfr_float_backend< 50 > >	mpfr_float_50
typedef number < mpfr_float_backend< 100 > >	mpfr_float_100
typedef number < mpfr_float_backend< 500 > >	mpfr_float_500
typedef number < mpfr_float_backend< 1000 > >	mpfr_float_1000
typedef number < mpfr_float_backend< 0 > >	mpfr_float
typedef number < mpfr_float_backend < 50, allocate_stack > >	static_mpfr_float_50
typedef number < mpfr_float_backend < 100, allocate_stack > >	static_mpfr_float_100
typedef number< tommath_int >	tom_int
typedef rational_adaptor < tommath_int >	tommath_rational
typedef number< tommath_rational >	tom_rational

Enumerations
enum	cpp_integer_type {   signed_magnitude = 1,   unsigned_magnitude = 0,   signed_packed = 3,   unsigned_packed = 2 }
enum	cpp_int_check_type {   checked = 1,   unchecked = 0 }
enum	mpfr_allocation_type {   allocate_stack,   allocate_dynamic }

Functions
limb_type	block_multiplier (unsigned count)
template<class T >
void	minmax (const T &a, const T &b, T &aa, T &bb)
template<unsigned MinBits, cpp_int_check_type Checked>
constexpr number < cpp_int_backend< MinBits, MinBits, signed_magnitude, Checked, void >, et_off >	operator- (const number< cpp_int_backend< MinBits, MinBits, signed_magnitude, Checked, void >, et_off > &a)
template<unsigned MinBits, cpp_int_check_type Checked>
constexpr number < cpp_int_backend< MinBits, MinBits, signed_magnitude, Checked, void >, et_off >	operator- (number< cpp_int_backend< MinBits, MinBits, signed_magnitude, Checked, void >, et_off > &&a)
template<expression_template_option ET>
number< gmp_int, ET >	numerator (const number< gmp_rational, ET > &val)
template<expression_template_option ET>
number< gmp_int, ET >	denominator (const number< gmp_rational, ET > &val)
template<class Integer , class I2 >
enable_if_c< is_integral < Integer >::value &&is_integral< I2 >::value, Integer & >::type	multiply (Integer &result, const I2 &a, const I2 &b)
template<class Integer , class I2 >
enable_if_c< is_integral < Integer >::value &&is_integral< I2 >::value, Integer & >::type	add (Integer &result, const I2 &a, const I2 &b)
template<class Integer , class I2 >
enable_if_c< is_integral < Integer >::value &&is_integral< I2 >::value, Integer & >::type	subtract (Integer &result, const I2 &a, const I2 &b)
template<class Integer >
enable_if_c< is_integral < Integer >::value >::type	divide_qr (const Integer &x, const Integer &y, Integer &q, Integer &r)
template<class I1 , class I2 >
enable_if_c< is_integral< I1 > ::value &&is_integral< I2 > ::value, I2 >::type	integer_modulus (const I1 &x, I2 val)
template<class I1 , class I2 , class I3 >
enable_if_c< is_integral< I1 > ::value &&is_unsigned< I2 > ::value &&is_integral< I3 > ::value, I1 >::type	powm (const I1 &a, I2 b, I3 c)
template<class I1 , class I2 , class I3 >
enable_if_c< is_integral< I1 > ::value &&is_signed< I2 > ::value &&is_integral< I3 > ::value, I1 >::type	powm (const I1 &a, I2 b, I3 c)
template<class Integer >
enable_if_c< is_integral < Integer >::value, unsigned > ::type	lsb (const Integer &val)
template<class Integer >
enable_if_c< is_integral < Integer >::value, unsigned > ::type	msb (Integer val)
template<class Integer >
enable_if_c< is_integral < Integer >::value, bool > ::type	bit_test (const Integer &val, unsigned index)
template<class Integer >
enable_if_c< is_integral < Integer >::value, Integer & > ::type	bit_set (Integer &val, unsigned index)
template<class Integer >
enable_if_c< is_integral < Integer >::value, Integer & > ::type	bit_unset (Integer &val, unsigned index)
template<class Integer >
enable_if_c< is_integral < Integer >::value, Integer & > ::type	bit_flip (Integer &val, unsigned index)
template<class Integer >
enable_if_c< is_integral < Integer >::value, Integer > ::type	sqrt (const Integer &x, Integer &r)
template<class Integer >
enable_if_c< is_integral < Integer >::value, Integer > ::type	sqrt (const Integer &x)
template<class Backend >
void	log_postfix_event (const Backend &, const char *)
template<class Backend , class T >
void	log_postfix_event (const Backend &, const T &, const char *)
template<class Backend >
void	log_prefix_event (const Backend &, const char *)
template<class Backend , class T >
void	log_prefix_event (const Backend &, const T &, const char *)
template<class Backend , class T , class U >
void	log_prefix_event (const Backend &, const T &, const U &, const char *)
template<class Backend , class T , class U , class V >
void	log_prefix_event (const Backend &, const T &, const U &, const V &, const char *)
template<class I , class Engine >
enable_if_c< number_category < I >::value==number_kind_integer, bool >::type	miller_rabin_test (const I &n, unsigned trials, Engine &gen)
template<class I >
enable_if_c< number_category < I >::value==number_kind_integer, bool >::type	miller_rabin_test (const I &x, unsigned trials)
template<class tag , class Arg1 , class Arg2 , class Arg3 , class Arg4 , class Engine >
bool	miller_rabin_test (const detail::expression< tag, Arg1, Arg2, Arg3, Arg4 > &n, unsigned trials, Engine &gen)
template<class tag , class Arg1 , class Arg2 , class Arg3 , class Arg4 >
bool	miller_rabin_test (const detail::expression< tag, Arg1, Arg2, Arg3, Arg4 > &n, unsigned trials)
template<unsigned Digits10, expression_template_option ExpressionTemplates>
number< mpfr_float_backend < Digits10 > , ExpressionTemplates >	lower (const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &val)
template<unsigned Digits10, expression_template_option ExpressionTemplates>
number< mpfr_float_backend < Digits10 > , ExpressionTemplates >	upper (const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &val)
template<unsigned Digits10, expression_template_option ExpressionTemplates>
number< mpfr_float_backend < Digits10 > , ExpressionTemplates >	median (const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &val)
template<unsigned Digits10, expression_template_option ExpressionTemplates>
number< mpfr_float_backend < Digits10 > , ExpressionTemplates >	width (const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &val)
template<unsigned Digits10, expression_template_option ExpressionTemplates>
number< mpfi_float_backend < Digits10 > , ExpressionTemplates >	intersect (const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &a, const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &b)
template<unsigned Digits10, expression_template_option ExpressionTemplates>
number< mpfi_float_backend < Digits10 > , ExpressionTemplates >	hull (const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &a, const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &b)
template<unsigned Digits10, expression_template_option ExpressionTemplates>
bool	overlap (const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &a, const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &b)
template<unsigned Digits10, expression_template_option ExpressionTemplates1, expression_template_option ExpressionTemplates2>
bool	in (const number< mpfr_float_backend< Digits10 >, ExpressionTemplates1 > &a, const number< mpfi_float_backend< Digits10 >, ExpressionTemplates2 > &b)
template<unsigned Digits10, expression_template_option ExpressionTemplates>
bool	zero_in (const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &a)
template<unsigned Digits10, expression_template_option ExpressionTemplates>
bool	subset (const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &a, const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &b)
template<unsigned Digits10, expression_template_option ExpressionTemplates>
bool	proper_subset (const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &a, const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &b)
template<unsigned Digits10, expression_template_option ExpressionTemplates>
bool	empty (const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &a)
template<unsigned Digits10, expression_template_option ExpressionTemplates>
bool	singleton (const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &a)
template<class Backend , expression_template_option ExpressionTemplates>
std::ostream &	operator<< (std::ostream &os, const number< Backend, ExpressionTemplates > &r)
template<class Backend , expression_template_option ExpressionTemplates>
std::istream &	operator>> (std::istream &is, number< Backend, ExpressionTemplates > &r)
template<class Backend , expression_template_option ExpressionTemplates>
BOOST_MP_FORCEINLINE void	swap (number< Backend, ExpressionTemplates > &a, number< Backend, ExpressionTemplates > &b)
template<class IntBackend , expression_template_option ET>
number< IntBackend, ET >	numerator (const number< rational_adaptor< IntBackend >, ET > &val)
template<class IntBackend , expression_template_option ET>
number< IntBackend, ET >	denominator (const number< rational_adaptor< IntBackend >, ET > &val)

Typedef Documentation

typedef number<cpp_int_backend<0, 0, signed_magnitude, checked> > boost::multiprecision::checked_cpp_int

typedef number<checked_cpp_rational_backend> boost::multiprecision::checked_cpp_rational

typedef rational_adaptor<cpp_int_backend<0, 0, signed_magnitude, checked> > boost::multiprecision::checked_cpp_rational_backend

typedef number<cpp_int_backend<1024, 1024, signed_magnitude, checked, void> > boost::multiprecision::checked_int1024_t

typedef number<cpp_int_backend<128, 128, signed_magnitude, checked, void> > boost::multiprecision::checked_int128_t

typedef number<cpp_int_backend<256, 256, signed_magnitude, checked, void> > boost::multiprecision::checked_int256_t

typedef number<cpp_int_backend<512, 512, signed_magnitude, checked, void> > boost::multiprecision::checked_int512_t

typedef number<cpp_int_backend<1024, 1024, unsigned_magnitude, checked, void> > boost::multiprecision::checked_uint1024_t

typedef number<cpp_int_backend<128, 128, unsigned_magnitude, checked, void> > boost::multiprecision::checked_uint128_t

typedef number<cpp_int_backend<256, 256, unsigned_magnitude, checked, void> > boost::multiprecision::checked_uint256_t

typedef number<cpp_int_backend<512, 512, unsigned_magnitude, checked, void> > boost::multiprecision::checked_uint512_t

typedef number<backends::cpp_bin_float<100> > boost::multiprecision::cpp_bin_float_100

typedef number<backends::cpp_bin_float<50> > boost::multiprecision::cpp_bin_float_50

typedef number<backends::cpp_bin_float<53, backends::digit_base_2, void, boost::int16_t, -1022, 1023>, et_off> boost::multiprecision::cpp_bin_float_double

typedef number<backends::cpp_bin_float<64, backends::digit_base_2, void, boost::int16_t, -16382, 16383>, et_off> boost::multiprecision::cpp_bin_float_double_extended

typedef number<backends::cpp_bin_float<113, backends::digit_base_2, void, boost::int16_t, -16382, 16383>, et_off> boost::multiprecision::cpp_bin_float_quad

typedef number<backends::cpp_bin_float<24, backends::digit_base_2, void, boost::int16_t, -126, 127>, et_off> boost::multiprecision::cpp_bin_float_single

typedef number<cpp_dec_float<100> > boost::multiprecision::cpp_dec_float_100

typedef number<cpp_dec_float<50> > boost::multiprecision::cpp_dec_float_50

typedef number<cpp_int_backend<> > boost::multiprecision::cpp_int

typedef number<cpp_rational_backend> boost::multiprecision::cpp_rational

typedef rational_adaptor<cpp_int_backend<> > boost::multiprecision::cpp_rational_backend

typedef detail::largest_unsigned_type<64>::type boost::multiprecision::double_limb_type

typedef number<float128_backend, et_off> boost::multiprecision::float128

typedef number<cpp_int_backend<1024, 1024, signed_magnitude, unchecked, void> > boost::multiprecision::int1024_t

typedef number<cpp_int_backend<128, 128, signed_magnitude, unchecked, void> > boost::multiprecision::int128_t

typedef number<cpp_int_backend<256, 256, signed_magnitude, unchecked, void> > boost::multiprecision::int256_t

typedef number<cpp_int_backend<512, 512, signed_magnitude, unchecked, void> > boost::multiprecision::int512_t

typedef detail::largest_unsigned_type<32>::type boost::multiprecision::limb_type

typedef number<gmp_float<0> > boost::multiprecision::mpf_float

typedef number<gmp_float<100> > boost::multiprecision::mpf_float_100

typedef number<gmp_float<1000> > boost::multiprecision::mpf_float_1000

typedef number<gmp_float<50> > boost::multiprecision::mpf_float_50

typedef number<gmp_float<500> > boost::multiprecision::mpf_float_500

typedef number<mpfi_float_backend<0> > boost::multiprecision::mpfi_float

typedef number<mpfi_float_backend<100> > boost::multiprecision::mpfi_float_100

typedef number<mpfi_float_backend<1000> > boost::multiprecision::mpfi_float_1000

typedef number<mpfi_float_backend<50> > boost::multiprecision::mpfi_float_50

typedef number<mpfi_float_backend<500> > boost::multiprecision::mpfi_float_500

typedef number<mpfr_float_backend<0> > boost::multiprecision::mpfr_float

typedef number<mpfr_float_backend<100> > boost::multiprecision::mpfr_float_100

typedef number<mpfr_float_backend<1000> > boost::multiprecision::mpfr_float_1000

typedef number<mpfr_float_backend<50> > boost::multiprecision::mpfr_float_50

typedef number<mpfr_float_backend<500> > boost::multiprecision::mpfr_float_500

typedef number<gmp_rational > boost::multiprecision::mpq_rational

typedef number<gmp_int > boost::multiprecision::mpz_int

typedef detail::largest_signed_type<64>::type boost::multiprecision::signed_double_limb_type

typedef detail::largest_signed_type<32>::type boost::multiprecision::signed_limb_type

typedef number<mpfr_float_backend<100, allocate_stack> > boost::multiprecision::static_mpfr_float_100

typedef number<mpfr_float_backend<50, allocate_stack> > boost::multiprecision::static_mpfr_float_50

typedef number<tommath_int > boost::multiprecision::tom_int

typedef number<tommath_rational> boost::multiprecision::tom_rational

typedef rational_adaptor<tommath_int> boost::multiprecision::tommath_rational

typedef number<cpp_int_backend<1024, 1024, unsigned_magnitude, unchecked, void> > boost::multiprecision::uint1024_t

typedef number<cpp_int_backend<128, 128, unsigned_magnitude, unchecked, void> > boost::multiprecision::uint128_t

typedef number<cpp_int_backend<256, 256, unsigned_magnitude, unchecked, void> > boost::multiprecision::uint256_t

typedef number<cpp_int_backend<512, 512, unsigned_magnitude, unchecked, void> > boost::multiprecision::uint512_t

Enumeration Type Documentation

enum boost::multiprecision::cpp_int_check_type

Enumerator
checked
unchecked

enum boost::multiprecision::cpp_integer_type

Enumerator
signed_magnitude
unsigned_magnitude
signed_packed
unsigned_packed

enum boost::multiprecision::mpfr_allocation_type

Enumerator
allocate_stack
allocate_dynamic

Function Documentation

template<class Integer , class I2 >

enable_if_c<is_integral<Integer>::value && is_integral<I2>::value, Integer&>::type boost::multiprecision::add	(	Integer &	result,
		const I2 &	a,
		const I2 &	b
	)

References boost::a.

template<class Integer >

enable_if_c<is_integral<Integer>::value, Integer&>::type boost::multiprecision::bit_flip	(	Integer &	val,
		unsigned	index
	)

References boost::phoenix::val().

template<class Integer >

enable_if_c<is_integral<Integer>::value, Integer&>::type boost::multiprecision::bit_set	(	Integer &	val,
		unsigned	index
	)

References boost::phoenix::val().

Referenced by sqrt().

template<class Integer >

enable_if_c<is_integral<Integer>::value, bool>::type boost::multiprecision::bit_test	(	const Integer &	val,
		unsigned	index
	)

Referenced by boost::multiprecision::cpp_bf_io_detail::get_round_mode(), miller_rabin_test(), boost::multiprecision::backends::cpp_bin_float< Digits, DigitBase, Allocator, Exponent, MinExponent, MaxExponent >::operator=(), and boost::multiprecision::cpp_bf_io_detail::restricted_multiply().

template<class Integer >

enable_if_c<is_integral<Integer>::value, Integer&>::type boost::multiprecision::bit_unset	(	Integer &	val,
		unsigned	index
	)

References boost::phoenix::val().

limb_type boost::multiprecision::block_multiplier ( unsigned  count )

inline

References BOOST_ASSERT, count, and boost::adaptors::values().

Referenced by boost::multiprecision::backends::tommath_int::operator=().

template<class IntBackend , expression_template_option ET>

number<IntBackend, ET> boost::multiprecision::denominator ( const number< rational_adaptor< IntBackend >, ET > &  val )

inline

References boost::phoenix::val().

template<expression_template_option ET>

number<gmp_int, ET> boost::multiprecision::denominator ( const number< gmp_rational, ET > &  val )

inline

References boost::multiprecision::number< Backend, ExpressionTemplates >::backend(), and boost::multiprecision::backends::gmp_int::data().

Referenced by boost::multiprecision::backends::rational_adaptor< IntBackend >::str().

template<class Integer >

enable_if_c<is_integral<Integer>::value>::type boost::multiprecision::divide_qr	(	const Integer &	x,
		const Integer &	y,
		Integer &	q,
		Integer &	r
	)

References boost::polygon::y().

Referenced by boost::multiprecision::backends::cpp_bin_float< Digits, DigitBase, Allocator, Exponent, MinExponent, MaxExponent >::operator=(), and boost::multiprecision::backends::cpp_bin_float< Digits, DigitBase, Allocator, Exponent, MinExponent, MaxExponent >::str().

template<unsigned Digits10, expression_template_option ExpressionTemplates>

bool boost::multiprecision::empty ( const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &  a )

inline

References boost::a.

template<unsigned Digits10, expression_template_option ExpressionTemplates>

number<mpfi_float_backend<Digits10>, ExpressionTemplates> boost::multiprecision::hull ( const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &  a, const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &  b  )

inline

References boost::a, boost::asio::b, and boost::multiprecision::number< Backend, ExpressionTemplates >::backend().

template<unsigned Digits10, expression_template_option ExpressionTemplates1, expression_template_option ExpressionTemplates2>

bool boost::multiprecision::in ( const number< mpfr_float_backend< Digits10 >, ExpressionTemplates1 > &  a, const number< mpfi_float_backend< Digits10 >, ExpressionTemplates2 > &  b  )

inline

References boost::a, and boost::asio::b.

template<class I1 , class I2 >

enable_if_c<is_integral<I1>::value && is_integral<I2>::value, I2>::type boost::multiprecision::integer_modulus	(	const I1 &	x,
		I2	val
	)

References boost::phoenix::val().

Referenced by boost::multiprecision::detail::check_small_factors(), and powm().

template<unsigned Digits10, expression_template_option ExpressionTemplates>

number<mpfi_float_backend<Digits10>, ExpressionTemplates> boost::multiprecision::intersect ( const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &  a, const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &  b  )

inline

References boost::a, boost::asio::b, and boost::multiprecision::number< Backend, ExpressionTemplates >::backend().

Referenced by boost::graph::distributed::fleischer_hendrickson_pinar_strong_components().

template<class Backend >

void boost::multiprecision::log_postfix_event ( const Backend &  , const char *    )

inline

template<class Backend , class T >

void boost::multiprecision::log_postfix_event ( const Backend &  , const T &  , const char *    )

inline

template<class Backend >

void boost::multiprecision::log_prefix_event ( const Backend &  , const char *    )

inline

template<class Backend , class T >

void boost::multiprecision::log_prefix_event ( const Backend &  , const T &  , const char *    )

inline

template<class Backend , class T , class U >

void boost::multiprecision::log_prefix_event ( const Backend &  , const T &  , const U &  , const char *    )

inline

template<class Backend , class T , class U , class V >

void boost::multiprecision::log_prefix_event ( const Backend &  , const T &  , const U &  , const V &  , const char *    )

inline

template<unsigned Digits10, expression_template_option ExpressionTemplates>

number<mpfr_float_backend<Digits10>, ExpressionTemplates> boost::multiprecision::lower ( const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &  val )

inline

References boost::multiprecision::number< Backend, ExpressionTemplates >::backend().

Referenced by overlap().

template<class Integer >

enable_if_c<is_integral<Integer>::value, unsigned>::type boost::multiprecision::lsb

(

const Integer &

val

)

References BOOST_THROW_EXCEPTION.

Referenced by boost::multiprecision::cpp_bf_io_detail::get_round_mode(), miller_rabin_test(), boost::multiprecision::backends::cpp_bin_float< Digits, DigitBase, Allocator, Exponent, MinExponent, MaxExponent >::operator=(), and boost::multiprecision::cpp_bf_io_detail::restricted_multiply().

template<unsigned Digits10, expression_template_option ExpressionTemplates>

number<mpfr_float_backend<Digits10>, ExpressionTemplates> boost::multiprecision::median ( const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &  val )

inline

References boost::multiprecision::number< Backend, ExpressionTemplates >::backend().

template<class I , class Engine >

enable_if_c<number_category<I>::value == number_kind_integer, bool>::type boost::multiprecision::miller_rabin_test	(	const I &	n,
		unsigned	trials,
		Engine &	gen
	)

References bit_test(), boost::multiprecision::detail::cast_to_unsigned(), boost::multiprecision::detail::check_small_factors(), boost::multiprecision::backends::i, boost::multiprecision::detail::is_small_prime(), lsb(), powm(), boost::flyweights::x, and boost::polygon::y().

Referenced by miller_rabin_test().

template<class I >

enable_if_c<number_category<I>::value == number_kind_integer, bool>::type boost::multiprecision::miller_rabin_test	(	const I &	x,
		unsigned	trials
	)

References miller_rabin_test().

template<class tag , class Arg1 , class Arg2 , class Arg3 , class Arg4 , class Engine >

bool boost::multiprecision::miller_rabin_test	(	const detail::expression< tag, Arg1, Arg2, Arg3, Arg4 > &	n,
		unsigned	trials,
		Engine &	gen
	)

References miller_rabin_test().

template<class tag , class Arg1 , class Arg2 , class Arg3 , class Arg4 >

bool boost::multiprecision::miller_rabin_test	(	const detail::expression< tag, Arg1, Arg2, Arg3, Arg4 > &	n,
		unsigned	trials
	)

References miller_rabin_test().

template<class T >

void boost::multiprecision::minmax ( const T &  a, const T &  b, T &  aa, T &  bb  )

inline

References boost::a, and boost::asio::b.

Referenced by boost::multiprecision::backends::add_unsigned(), boost::multiprecision::backends::bitwise_op(), and boost::multiprecision::backends::subtract_unsigned().

template<class Integer >

enable_if_c<is_integral<Integer>::value, unsigned>::type boost::multiprecision::msb

(

Integer

val

)

References BOOST_THROW_EXCEPTION.

Referenced by boost::multiprecision::backends::copy_and_round(), boost::multiprecision::backends::eval_divide(), boost::multiprecision::backends::eval_exp(), boost::multiprecision::cpp_bf_io_detail::get_round_mode(), boost::multiprecision::backends::cpp_bin_float< Digits, DigitBase, Allocator, Exponent, MinExponent, MaxExponent >::operator=(), boost::multiprecision::cpp_bf_io_detail::restricted_multiply(), sqrt(), and boost::multiprecision::backends::cpp_bin_float< Digits, DigitBase, Allocator, Exponent, MinExponent, MaxExponent >::str().

template<class Integer , class I2 >

enable_if_c<is_integral<Integer>::value && is_integral<I2>::value, Integer&>::type boost::multiprecision::multiply	(	Integer &	result,
		const I2 &	a,
		const I2 &	b
	)

References boost::a.

Referenced by powm().

template<class IntBackend , expression_template_option ET>

number<IntBackend, ET> boost::multiprecision::numerator ( const number< rational_adaptor< IntBackend >, ET > &  val )

inline

References boost::phoenix::val().

template<expression_template_option ET>

number<gmp_int, ET> boost::multiprecision::numerator ( const number< gmp_rational, ET > &  val )

inline

References boost::multiprecision::number< Backend, ExpressionTemplates >::backend(), and boost::multiprecision::backends::gmp_int::data().

template<unsigned MinBits, cpp_int_check_type Checked>

constexpr number<cpp_int_backend<MinBits, MinBits, signed_magnitude, Checked, void>, et_off> boost::multiprecision::operator-

(

const number< cpp_int_backend< MinBits, MinBits, signed_magnitude, Checked, void >, et_off > &

a

)

References boost::multiprecision::literals::detail::make_negate_tag().

template<unsigned MinBits, cpp_int_check_type Checked>

constexpr number<cpp_int_backend<MinBits, MinBits, signed_magnitude, Checked, void>, et_off> boost::multiprecision::operator-

(

number< cpp_int_backend< MinBits, MinBits, signed_magnitude, Checked, void >, et_off > &&

a

)

References boost::a, and boost::multiprecision::literals::detail::make_negate_tag().

template<class Backend , expression_template_option ExpressionTemplates>

std::ostream& boost::multiprecision::operator<< ( std::ostream &  os, const number< Backend, ExpressionTemplates > &  r  )

inline

References std::fill(), boost::bimaps::support::left, and boost::asio::s.

template<class Backend , expression_template_option ExpressionTemplates>

std::istream& boost::multiprecision::operator>> ( std::istream &  is, number< Backend, ExpressionTemplates > &  r  )

inline

References boost::multiprecision::number< Backend, ExpressionTemplates >::assign(), boost::spirit::x3::hex, boost::spirit::x3::oct, boost::asio::s, and boost::program_options::value().

template<unsigned Digits10, expression_template_option ExpressionTemplates>

bool boost::multiprecision::overlap ( const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &  a, const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &  b  )

inline

References boost::a, boost::asio::b, lower(), and upper().

template<class I1 , class I2 , class I3 >

enable_if_c<is_integral<I1>::value && is_unsigned<I2>::value && is_integral<I3>::value, I1>::type boost::multiprecision::powm	(	const I1 &	a,
		I2	b,
		I3	c
	)

References boost::multiprecision::backends::c, integer_modulus(), multiply(), boost::flyweights::x, and boost::polygon::y().

Referenced by miller_rabin_test(), and powm().

template<class I1 , class I2 , class I3 >

enable_if_c<is_integral<I1>::value && is_signed<I2>::value && is_integral<I3>::value, I1>::type boost::multiprecision::powm ( const I1 &  a, I2  b, I3  c  )

inline

References BOOST_THROW_EXCEPTION, powm(), and boost::detail::type.

template<unsigned Digits10, expression_template_option ExpressionTemplates>

bool boost::multiprecision::proper_subset ( const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &  a, const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &  b  )

inline

References boost::a, and boost::asio::b.

template<unsigned Digits10, expression_template_option ExpressionTemplates>

bool boost::multiprecision::singleton ( const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &  a )

inline

References boost::a.

template<class Integer >

enable_if_c<is_integral<Integer>::value, Integer>::type boost::multiprecision::sqrt	(	const Integer &	x,
		Integer &	r
	)

References bit_set(), msb(), boost::asio::s, boost::flyweights::t, and boost::flyweights::x.

Referenced by sqrt().

template<class Integer >

enable_if_c<is_integral<Integer>::value, Integer>::type boost::multiprecision::sqrt

(

const Integer &

x

)

References sqrt().

template<unsigned Digits10, expression_template_option ExpressionTemplates>

bool boost::multiprecision::subset ( const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &  a, const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &  b  )

inline

References boost::a, and boost::asio::b.

template<class Integer , class I2 >

enable_if_c<is_integral<Integer>::value && is_integral<I2>::value, Integer&>::type boost::multiprecision::subtract	(	Integer &	result,
		const I2 &	a,
		const I2 &	b
	)

References boost::a.

template<class Backend , expression_template_option ExpressionTemplates>

BOOST_MP_FORCEINLINE void boost::multiprecision::swap	(	number< Backend, ExpressionTemplates > &	a,
		number< Backend, ExpressionTemplates > &	b
	)

References boost::multiprecision::number< Backend, ExpressionTemplates >::swap().

template<unsigned Digits10, expression_template_option ExpressionTemplates>

number<mpfr_float_backend<Digits10>, ExpressionTemplates> boost::multiprecision::upper ( const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &  val )

inline

References boost::multiprecision::number< Backend, ExpressionTemplates >::backend().

Referenced by overlap().

template<unsigned Digits10, expression_template_option ExpressionTemplates>

number<mpfr_float_backend<Digits10>, ExpressionTemplates> boost::multiprecision::width ( const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &  val )

inline

References boost::multiprecision::number< Backend, ExpressionTemplates >::backend().

Referenced by boost::geometry::detail::svg::svg_box< Box >::apply(), boost::gil::detail::png_reader::apply(), boost::gil::detail::png_reader_color_convert< CC >::apply(), boost::locale::utf::utf_traits< CharType, 1 >::decode(), boost::random::piecewise_constant_distribution< RealType, WeightType >::param_type::densities(), boost::random::piecewise_linear_distribution< RealType >::param_type::densities(), boost::random::piecewise_linear_distribution< RealType >::densities(), boost::tuples::detail::handle_width(), boost::date_time::time_facet< time_type, CharT, OutItrT >::hours_as_string(), boost::date_time::time_facet< time_type, CharT, OutItrT >::integral_as_string(), boost::uuids::operator<<(), boost::operator<<(), print_table(), boost::gil::detail::tiff_reader_dynamic::read_image(), and boost::gil::detail::png_reader_dynamic::read_image().

template<unsigned Digits10, expression_template_option ExpressionTemplates>

bool boost::multiprecision::zero_in ( const number< mpfi_float_backend< Digits10 >, ExpressionTemplates > &  a )

inline

References boost::a.